Title data
Li, Huijuan ; Wirth, Fabian:
Zubov's method for interconnected systems : a dissipative formulation.
In:
Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 913, 2012, Melbourne, Australia. 
Melbourne, Australia
: Think Business Events
,
2012
ISBN 9780646580623
This is the latest version of this item.
Related URLs
Project information
Project title: 
Project's official title Project's id MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735SADCO 

Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union 
Abstract in another language
We study the domain of attraction of an asymptotically stable fixed point of the feedback interconnections of two nonlinear systems. For each subsystem we introduce an auxiliary system and assume that it is uniformly locally asymptotically stable at the origin. It is then shown that each subsystem is integral inputto state stable (iISS) regarding the state of the other subsystem as input. If the interconnection of the two subsystems satisfies a small gain condition, an estimate for the domain of attraction of the whole system may be obtained by constructing a nonsmooth Lyapunov function.
Further data
Item Type:  Article in a book 

Refereed:  Yes 
Additional notes:  Paper No. 184, full paper.
Contents: 1. Introduction 1.1. Preliminaries 1.2. The auxiliary system 2. Main results 2.1. The domain of attraction of the auxiliary system 2.2. Coupled Systems Conclusions 
Keywords:  nonlinear systems; inputto state stability (ISS); integral inputto state stability (iISS); ISS Lyapunov function; small gain condition; Zubov’s method 
Institutions of the University:  Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics 
Result of work at the UBT:  No 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  27 Mar 2015 09:51 
Last Modified:  27 Mar 2015 09:51 
URI:  https://eref.unibayreuth.de/id/eprint/9433 
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Zubov's method for interconnected systems : a dissipative formulation. (deposited 26 Mar 2015 09:41)
 Zubov's method for interconnected systems : a dissipative formulation. (deposited 27 Mar 2015 09:51) [Currently Displayed]